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A mathematical approach is adopted for optimizing the number of total device elements required for obtaining high effective quantized resistances in graphene-based quantum Hall array devices. This work explores an analytical extension to…

We have investigated the disorder of epitaxial graphene close to the charge neutrality point (CNP) by various methods: i) at room temperature, by analyzing the dependence of the resistivity on the Hall coefficient ; ii) by fitting the…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 A. Nachawaty , M. Yang , W. Desrat , S. Nanot , B. Jabakhanji , D. Kazazis , R. Yakimova , A. Cresti , W. Escoffier , B. Jouault

Silicene, as the silicon analog of graphene, has been successfully fabricated by epitaxial growing on various substrates. Similar to free-standing graphene, free-standing silicene possesses a honeycomb structure and Dirac-cone-shaped energy…

Materials Science · Physics 2015-09-02 Hongxia Zhong , Ruge Quhe , Yangyang Wang , Junjie Shi , Jing Lu

Quantum Hall effect (QHE), the ground to construct modern conceptual electronic systems with emerging physics, is often much influenced by the interplay between the host two-dimensional electron gases and the substrate, sometimes predicted…

Mechanical deformations of graphene induce a term in the Dirac Hamiltonian which is reminiscent of an electromagnetic vector potential. Strain gradients along particular lattice directions induce local pseudomagnetic fields and substantial…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Eran Sela , Yakov Bloch , Felix von Oppen , Moshe Ben Shalom

The thermoelectric response of high mobility single layer epitaxial graphene on silicon carbide substrates as a function of temperature and magnetic field have been investigated. For the temperature dependence of the thermopower, a strong…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Xiaosong Wu , Yike Hu , Ming Ruan , Nerasoa K. Madiomanana , Claire Berger , Walt A. de Heer

Magnetotransport measurements on Hall bar devices fabricated on purely monolayer epitaxial graphene on Silicon Carbide (SiC/G) show a very tight spread in carrier concentration and mobility across wafer- size dimensions. In contrast, SiC/G…

Mesoscale and Nanoscale Physics · Physics 2015-02-09 Tom Yager , Arseniy Lartsev , Rositza Yakimova , Samuel Lara-Avila , Sergey Kubatkin

We report observation of the fractional quantum Hall effect (FQHE) in high mobility multi-terminal graphene devices, fabricated on a single crystal boron nitride substrate. We observe an unexpected hierarchy in the emergent FQHE states that…

Mesoscale and Nanoscale Physics · Physics 2011-06-17 C. R. Dean , A. F. Young , P. Cadden-Zimansky , L. Wang , H. Ren , K. Watanabe , T. Taniguchi , P. Kim , J. Hone , K. L. Shepard

When electrons are confined in two dimensions and subjected to strong magnetic fields, the Coulomb interactions between them become dominant and can lead to novel states of matter such as fractional quantum Hall liquids. In these liquids…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Kirill I. Bolotin , Fereshte Ghahari , Michael D. Shulman , Horst L. Stormer , Philip Kim

This Good Practice Guide provides information for the realization of the farad from the quantum Hall resistance in graphene devices by using digital impedance bridges. The fabrication and characterization of graphene quantum Hall effect…

Instrumentation and Detectors · Physics 2022-05-11 Luca Callegaro , Stephan Bauer , Blaise Jeanneret , Mattias Kruskopf , Martina Marzano , Massimo Ortolano , Frederic Overney

Among many remarkable qualities of graphene, its electronic properties attract particular interest due to a massless chiral character of charge carriers, which leads to such unusual phenomena as metallic conductivity in the limit of no…

Mesoscale and Nanoscale Physics · Physics 2011-04-07 F. Guinea , M. I. Katsnelson , A. K. Geim

We have performed a metrological characterization of the quantum Hall resistance in a 1 $\mu$m wide graphene Hall-bar. The longitudinal resistivity in the center of the $\nu=\pm 2$ quantum Hall plateaus vanishes within the measurement noise…

Mesoscale and Nanoscale Physics · Physics 2008-12-10 A. J. M. Giesbers , G. Rietveld , E. Houtzager , U. Zeitler , R. Yang , K. S. Novoselov , A. K. Geim , J. C. Maan

The unique electronic properties of graphene offer the possibility that it could replace silicon when microelectronics evolves to nanoelectronics. Graphene grown epitaxially on silicon carbide is particularly attractive in this regard…

Materials Science · Physics 2015-05-13 Valery Borovikov , Andrew Zangwill

Since its discovery in 2004, graphene, a two-dimensional hexagonal carbon allotrope, has generated great interest and spurred research activity from materials science to particle physics and vice versa. In particular, graphene has been…

High Energy Physics - Lattice · Physics 2010-11-03 Joaquín E. Drut , Timo A. Lähde , Eero Tölö

Two-dimensional (2D) magnetic materials integrated with graphene offer a compelling platform for next-generation spintronic devices, yet nickel in its 2D form remains largely unexplored, due to fundamental synthesis limitations. Here, we…

This article presents a review of epitaxial graphene on silicon carbide, from fabrication to properties, put in the context of other forms of graphene.

Mesoscale and Nanoscale Physics · Physics 2017-04-04 Claire Berger , Edward H. Conrad , Walt A. de Heer

Local electronic structures of nanometer-sized patches of epitaxial graphene and its interface layer with SiC(0001) have been studied by atomically resolved scanning tunneling microscopy and spectroscopy. Localized states belonging to the…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 J. Cervenka , K. van de Ruit , C. F. J. Flipse

Producing large-area single-crystalline graphene is key to realizing its full potential in advanced applications, including twistronics. Yet, controlling graphene growth kinetics to avoid grain boundaries or multilayer growth remains…

We perform density functional theory calculations for the determination of the structural and electronic properties of epitaxial graphene on 4H-SiC(000$\bar{1}$). Using commensurate supercells that minimize non-physical stresses we show…

Mesoscale and Nanoscale Physics · Physics 2011-03-07 I. Deretzis , A. La Magna

Graphene electronics has motivated much of graphene science for the past decade. A primary goal was to develop high mobility semiconducting graphene with a band gap that is large enough for high performance applications. Graphene ribbons…

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